What is the Least Common Multiple of 80612 and 80625?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 80612 and 80625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80612 and 80625, than apply into the LCM equation.

GCF(80612,80625) = 1
LCM(80612,80625) = ( 80612 × 80625) / 1
LCM(80612,80625) = 6499342500 / 1
LCM(80612,80625) = 6499342500

Least Common Multiple (LCM) of 80612 and 80625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80612 and 80625. First we will calculate the prime factors of 80612 and 80625.

Prime Factorization of 80612

Prime Factorization of 80625

Now multiplying the highest exponent prime factors to calculate the LCM of 80612 and 80625.

LCM(80612,80625) = 2² × 7¹ × 2879¹ × 3¹ × 5⁴ × 43¹
LCM(80612,80625) = 6499342500